메뉴 건너뛰기




Volumn 298, Issue 2, 2010, Pages 485-514

On Infinite-Volume Mixing

Author keywords

[No Author keywords available]

Indexed keywords


EID: 77954623285     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-010-1043-6     Document Type: Article
Times cited : (46)

References (29)
  • 1
    • 0003326377 scopus 로고    scopus 로고
    • An introduction to infinite ergodic theory
    • Providence,RI: Amer. Math. Soc
    • Aaronson, J.: An introduction to infinite ergodic theory. Mathematical Surveys and Monographs, 50. Providence, RI: Amer. Math. Soc., 1997.
    • (1997) Mathematical Surveys and Monographs , vol.50
    • Aaronson, J.1
  • 2
    • 11744373241 scopus 로고
    • Statistical properties of Lorentz gas with periodic configuration of scatterers
    • Bunimovich L. A., Sinai Ya. G.: Statistical properties of Lorentz gas with periodic configuration of scatterers. Commun. Math. Phys. 78(4), 479-497 (1980/81).
    • (1980) Commun. Math. Phys. , vol.78 , Issue.4 , pp. 479-497
    • Bunimovich, L.A.1    Sinai, Y.G.2
  • 3
    • 77954620250 scopus 로고    scopus 로고
    • Chernov, N., Markarian, R.: Chaotic billiards. Mathematical Surveys and Monographs, 127. Providence, RI: Amer. Math. Soc., 2006.
  • 4
    • 77954622425 scopus 로고    scopus 로고
    • Friedman, N. A.: Mixing transformations in an infinite measure space. In: Studies in probability and ergodic theory, Adv. in Math. Suppl. Stud., 2. New York-London: Academic Press, 1978, pp. 167-184.
  • 5
    • 0002033222 scopus 로고
    • Weakly wandering sets and invariant measures
    • Hajian A. B., Kakutani S.: Weakly wandering sets and invariant measures. Trans. Amer. Math. Soc. 110, 136-151 (1964).
    • (1964) Trans. Amer. Math. Soc. , vol.110 , pp. 136-151
    • Hajian, A.B.1    Kakutani, S.2
  • 6
    • 0004251104 scopus 로고
    • Berlin: Springer-Verlag
    • Hopf E.: Ergodentheorie. Springer-Verlag, Berlin (1937).
    • (1937) Ergodentheorie
    • Hopf, E.1
  • 7
    • 0033212052 scopus 로고    scopus 로고
    • Renewal sequences and intermittency
    • Isola S.: Renewal sequences and intermittency. J. Stat. Phys. 97(1-2), 263-280 (1999).
    • (1999) J. Stat. Phys. , vol.97 , Issue.1-2 , pp. 263-280
    • Isola, S.1
  • 8
    • 2442569877 scopus 로고    scopus 로고
    • On systems with finite ergodic degree
    • Isola S.: On systems with finite ergodic degree. Far East J. Dyn. Syst. 5(1), 1-62 (2003).
    • (2003) Far East J. Dyn. Syst. , vol.5 , Issue.1 , pp. 1-62
    • Isola, S.1
  • 9
    • 84966234110 scopus 로고
    • Infinite measure preserving transformations with "mixing"
    • Kakutani S., Parry W.: Infinite measure preserving transformations with "mixing". Bull. Amer. Math. Soc. 69, 752-756 (1963).
    • (1963) Bull. Amer. Math. Soc. , vol.69 , pp. 752-756
    • Kakutani, S.1    Parry, W.2
  • 10
    • 0003744596 scopus 로고    scopus 로고
    • 3rd Ed. Cambridge Mathematical Library, Cambridge: Cambridge University Press
    • Katznelson Y.: An introduction to harmonic analysis. 3rd ed. Cambridge Mathematical Library. Cambridge University Press, Cambridge (2004).
    • (2004) An Introduction to Harmonic Analysis
    • Katznelson, Y.1
  • 11
    • 0040454443 scopus 로고
    • Ratio limit theorems for Markov chains
    • Kingman J. F. C., Orey S.: Ratio limit theorems for Markov chains. Proc. Amer. Math. Soc. 15, 907-910 (1964).
    • (1964) Proc. Amer. Math. Soc. , vol.15 , pp. 907-910
    • Kingman, J.F.C.1    Orey, S.2
  • 12
    • 0042282047 scopus 로고
    • Mixing in infinite measure spaces
    • Krengel U., Sucheston L.: Mixing in infinite measure spaces. Z. Wahr. Verw. Geb. 13, 150-164 (1969).
    • (1969) Z. Wahr. Verw. Geb. , vol.13 , pp. 150-164
    • Krengel, U.1    Sucheston, L.2
  • 13
    • 77954622277 scopus 로고    scopus 로고
    • Krickeberg, K.: Strong mixing properties of Markov chains with infinite invariant measure. In: 1967 Proc. Fifth Berkeley Sympos. Math. Statist. and Probability (Berkeley, CA, 1965/66), Vol. II, Part 2, Berkeley, CA: Univ. California Press, 1967, pp. 431-446.
  • 14
    • 0041913066 scopus 로고    scopus 로고
    • Aperiodic Lorentz gas: Recurrence and ergodicity
    • Lenci M.: Aperiodic Lorentz gas: recurrence and ergodicity. Erg. Th. Dynam. Systs. 23(3), 869-883 (2003).
    • (2003) Erg. Th. Dynam. Systs. , vol.23 , Issue.3 , pp. 869-883
    • Lenci, M.1
  • 15
    • 33744941836 scopus 로고    scopus 로고
    • Typicality of recurrence for Lorentz gases
    • Lenci M.: Typicality of recurrence for Lorentz gases. Erg. Th. Dynam. Systs. 26(3), 799-820 (2006).
    • (2006) Erg. Th. Dynam. Systs. , vol.26 , Issue.3 , pp. 799-820
    • Lenci, M.1
  • 16
    • 77954621434 scopus 로고    scopus 로고
    • Lenci, M.: Mixing properties of infinite Lorentz gases. In preparation.
  • 17
    • 34250132303 scopus 로고
    • Criteria for absolute convergence of multiple Fourier series
    • Nowak Z.: Criteria for absolute convergence of multiple Fourier series. Ark. Mat. 22(1), 25-32 (1984).
    • (1984) Ark. Mat. , vol.22 , Issue.1 , pp. 25-32
    • Nowak, Z.1
  • 18
    • 84966260459 scopus 로고
    • Strong ratio limit property
    • Orey S.: Strong ratio limit property. Bull. Amer. Math. Soc. 67, 571-574 (1961).
    • (1961) Bull. Amer. Math. Soc. , vol.67 , pp. 571-574
    • Orey, S.1
  • 19
    • 0002219292 scopus 로고
    • Strong ratio limits, R-recurrence and mixing properties of discrete parameter Markov processes
    • Papangelou F.: Strong ratio limits, R-recurrence and mixing properties of discrete parameter Markov processes. Z. Wahr. Verw. Geb. 8, 259-297 (1967).
    • (1967) Z. Wahr. Verw. Geb. , vol.8 , pp. 259-297
    • Papangelou, F.1
  • 20
    • 84966214833 scopus 로고
    • Strong ratio limit property for R-recurrent Markov chains
    • Pruitt W. E.: Strong ratio limit property for R-recurrent Markov chains. Proc. Amer. Math. Soc. 16, 196-200 (1965).
    • (1965) Proc. Amer. Math. Soc. , vol.16 , pp. 196-200
    • Pruitt, W.E.1
  • 21
    • 77954620663 scopus 로고    scopus 로고
    • Rudin, W.: Fourier analysis on groups. Interscience Tracts in Pure and Applied Mathematics, no. 12, New York-London: Interscience Publishers (a division of John Wiley and Sons), 1962.
  • 22
    • 0011870692 scopus 로고
    • On category of mixing in infinite measure spaces
    • Sachdeva U.: On category of mixing in infinite measure spaces. Math. Systems Theory 5, 319-330 (1971).
    • (1971) Math. Systems Theory , vol.5 , pp. 319-330
    • Sachdeva, U.1
  • 23
    • 84927896522 scopus 로고
    • Dynamical systems with elastic reflections
    • Sinai Ya. G.: Dynamical systems with elastic reflections. Russ. Math. Surv. 25(2), 137-189 (1970).
    • (1970) Russ. Math. Surv. , vol.25 , Issue.2 , pp. 137-189
    • Sinai, Y.G.1
  • 24
    • 77954621522 scopus 로고    scopus 로고
    • Spitzer, F.: Principles of random walk, 2nd ed. Graduate Texts in Mathematics, 34. New York-Heidelberg: Springer-Verlag, 1976.
  • 25
    • 33751008827 scopus 로고
    • On mixing and the zero-one law
    • Sucheston L.: On mixing and the zero-one law. J. Math. Anal. Appl. 6, 447-456 (1963).
    • (1963) J. Math. Anal. Appl. , vol.6 , pp. 447-456
    • Sucheston, L.1
  • 26
    • 0034366222 scopus 로고    scopus 로고
    • The asymptotics of the Perron-Frobenius operator of a class of interval maps preserving infinite measures
    • Thaler M.: The asymptotics of the Perron-Frobenius operator of a class of interval maps preserving infinite measures. Studia Math. 143(2), 103-119 (2000).
    • (2000) Studia Math. , vol.143 , Issue.2 , pp. 103-119
    • Thaler, M.1
  • 27
    • 77954621867 scopus 로고
    • Uniformity of mixing transformations with infinite measure
    • Ed. Gifu Univ. No
    • Tomatsu S.: Uniformity of mixing transformations with infinite measure. Bull. Fac. Gen. Ed. Gifu Univ. No. 17, 43-49 (1981).
    • (1981) Bull. Fac. Gen. , vol.17 , pp. 43-49
    • Tomatsu, S.1
  • 28
    • 77954621041 scopus 로고
    • Local uniformity of mixing transformations with infinite measure
    • Ed. Gifu Univ. No
    • Tomatsu S.: Local uniformity of mixing transformations with infinite measure. Bull. Fac. Gen. Ed. Gifu Univ. No. 20, 1-5 (1984).
    • (1984) Bull. Fac. Gen. , vol.20 , pp. 1-5
    • Tomatsu, S.1
  • 29
    • 77954625248 scopus 로고    scopus 로고
    • Walters, P.: An introduction to ergodic theory. Graduate Texts in Mathematics, 79. New York-Berlin: Springer-Verlag, 1982.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.